Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4545/209, 2766/375 quickly i.e. 4190490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4545/209, 2766/375 is 4190490.
LCM(4545/209, 2766/375) = 4190490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4545/209,2766/375
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 4545,2766
Least Common Multiple of Numerators i.e. LCM of 4545,2766 is 4190490.
GCF of Denominators means GCF of 209,375 as per the given fractions.
GCF of 209,375 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4545,2766
3 | 4545, 2766 |
1515, 922 |
∴ So the LCM of the given numbers is 3 x 1515 x 922 = 4190490
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 4545,2766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4545,2766) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(4545,2766) x common factors =3 x 1 = 3
LCM(4545,2766) = ( 4545 × 2766 ) / 3
LCM(4545,2766) = 12571470 / 3
LCM(4545,2766) = 4190490
Lets's calculate GCF of 209,375
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4190490/1
Therefore the LCM of Fractions 4545/209,2766/375 is 4190490
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 209,375 . The biggest common factor number is the GCF number.
So the greatest common factor 209,375 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 4545/209, 2766/375?
Answer: LCM of Numerators as per given numbers 4545/209, 2766/375 is
LCM of Numerators i.e. for 4545,2766 is 4190490
GCF of denominators i.e. for 209,375 is 1.
Thus, LCM of Fractions is 4190490.Finally, LCM of Fractions for 4545/209, 2766/375 is 4190490.